105505510110101 has 16 divisors (see below), whose sum is σ = 105962186340864. Its totient is φ = 105049204076544.

The previous prime is 105505510110061. The next prime is 105505510110163. The reversal of 105505510110101 is 101011015505501.

It is a cyclic number.

It is not a de Polignac number, because 105505510110101 - 2⁴² = 101107463598997 is a prime.

It is a super-2 number, since 2×105505510110101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505510110401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8126428856 + ... + 8126441838.

It is an arithmetic number, because the mean of its divisors is an integer number (6622636646304).

Almost surely, 2^{105505510110101} is an apocalyptic number.

It is an amenable number.

105505510110101 is a deficient number, since it is larger than the sum of its proper divisors (456676230763).

105505510110101 is a wasteful number, since it uses less digits than its factorization.

105505510110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24580.

The product of its (nonzero) digits is 625, while the sum is 26.

Adding to 105505510110101 its reverse (101011015505501), we get a palindrome (206516525615602).

The spelling of 105505510110101 in words is "one hundred five trillion, five hundred five billion, five hundred ten million, one hundred ten thousand, one hundred one".